If A ={a,b,c,d} , B ={b,d,e,f,g} and C ={b,c,d,f,h,i} , verify that : A U B = ( A - B ) U B.
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Answered by
1
Answer:
∪B is the set of elements which are in A or B or in both
A∩B is the set of all elements common to both A and B
A
′
is the set of all elements which are not in A
B
′
is the set of all elements which are not in B
U={a,b,c,d,e},A={a,b,c} and B={b,c,d,e}
Now,
A∩B={b,c}
(A∩B)
′
={a,d,e} --- ( 1 )
A
′
={d,e}
B
′
={a}
(A
′
∪B
′
)={a,d,e} ---- ( 2 )
∴ From ( 1 ) and ( 2 ),
⇒ (A∩B)
′
=(A
′
∪B
′
)
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Answered by
0
Step-by-step explanation:
A∪B is the set of elements which are in A or B or in both
A∩B is the set of all elements common to both A and B
A
′
is the set of all elements which are not in A
B
′
is the set of all elements which are not in B
U={a,b,c,d,e},A={a,b,c} and B={b,c,d,e}
Now,
A∩B={b,c}
(A∩B)
′
={a,d,e} --- ( 1 )
A
′
={d,e}
B
′
={a}
(A
′
∪B
′
)={a,d,e} ---- ( 2 )
∴ From ( 1 ) and ( 2 ),
⇒ (A∩B)
′
=(A
′
∪B
′
)
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